58920 has 32 divisors (see below), whose sum is σ = 177120. Its totient is φ = 15680.

The previous prime is 58913. The next prime is 58921. The reversal of 58920 is 2985.

58920 = T₂₇ + T₂₈ + ... + T₇₁.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (58921) by changing a digit.

58920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126 + ... + 365.

It is an arithmetic number, because the mean of its divisors is an integer number (5535).

2⁵⁸⁹²⁰ is an apocalyptic number.

It is an amenable number.

58920 is an abundant number, since it is smaller than the sum of its proper divisors (118200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88560).

58920 is a wasteful number, since it uses less digits than its factorization.

58920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 58920 is about 242.7344227752. The cubic root of 58920 is about 38.9123607360.

The spelling of 58920 in words is "fifty-eight thousand, nine hundred twenty".